Answer:
m∠QPR = 35° m∠QPM =40° m∠PRS = 30°
Step-by-step explanation:
ΔPRQ is a right triangle with right angle at R. So m∠QPR = 90 - 55 = 35
ΔQPM is a right triangle with right angle at M. So m∠QPM = 90 - 40 = 40
Arc RQ = 2(35) = 70 and arc SR = 2(25) = 50.
So arc PS = 180 - (arc RQ + arc SR) = 180 - (70 + 50) = 180 - 120 = 60
Now arc PS is the intercepted arc for ∠PRS.
Therefore, m∠PRS = 60/2 = 30
I used the fact that an inscribed angle has a measure 1/2 the measure of the intercepted arc several times. Also, I used the fact that the acute angles of a right triangle are complementary. And, finally I used the fact that an inscribed angle in a semicircle is a right angle.
I hope this helped.
Step-by-step explanation:
u have to say what the how much degree it is
Answer:
.
Step-by-step explanation:
Given:

We need to find
.
Solution:
Now we can see that given figure is a rectangle with diagonals drawn in it.
So by properties of rectangle which states that;
"All angles of a rectangle are 90°."
So we can say that;

But

Substituting the values we get;

Subtracting both side by by 31 we get;

Hence
.
Using proportions, it is found that the length of the drawing is of 2.583 feet.
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- Scale problems are solved using proportions, by a rule of three.
- The length of the front is of 155 feet.
- The drawing has a scale of 1/60 of the actual size, that is, each actual feet is worth 1/60 on the drawing.
Thus:
1 feet - 1/60 feet
155 feet - x
Applying cross multiplication:

The length of the drawing is of 2.583 feet.
A similar problem is given at brainly.com/question/24105256
Answer:

Step-by-step explanation:


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